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Finding the Fourth Proportional to 216,843.57, 299,530.04 and 166,478.58

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Solution

The fourth proportional to 216,843.57, 299,530.04 and 166,478.58 is: 229,959.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,843.57 : 299,530.04 = 166,478.58 : x
  2. Step 2: Convert to fraction form
    216,843.57/299,530.04 = 166,478.58/x
  3. Step 3: Cross multiply
    216,843.57x = 299,530.04 × 166,478.58
  4. Step 4: Simplify right side
    216,843.57x = 49,865,334,894.15
  5. Step 5: Solve for x
    x = 49,865,334,894.15/216,843.57
  6. Step 6: Final answer
    x = 229,959.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.